# A, B and C invested capital in the ratio 5 : 7 : 4, the timing of their investments being in the ratio x : y : z. If their profits are distributed in

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A, B and C invested capital in the ratio 5 : 7 : 4, the timing of their investments being in the ratio x : y : z. If their profits are distributed in the ratio 45 : 42 : 28, then x : y : z = ?
1. 9 : 4 : 7
2. 7 : 9 : 4
3. 6 : 7 : 9
4. 9 : 6 : 7

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Correct Answer - Option 4 : 9 : 6 : 7

Given:

The ratio of investment of A, B, and C is 5 ∶ 7 ∶ 4

The timing ratio of A, B, and C is x ∶ y ∶ z

The profits distribution ratio is 45 ∶ 42 ∶ 28

Concept used:

Profits distributed in the ratio of investment ×  time

Calculation:

A                      B                      C

Investment                  5                       7                      4

Time                            x                       y                      z

----------------------------------------------------------------------------

Profits Distribution      45                   42                     28

⇒ 5x = 45 ; 7y = 42 ; 4z = 28

⇒ x = 9 ; y = 6 ; z = 7

∴ x ∶ y ∶ z = 9 ∶ 6 ∶ 7